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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

651. Find the distance between the origin and the point

(a) (-6, 8)

(b)5, 12).

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 706

Hi, #651 solutions are

(a) 10 units

(b) 13 units

*Last edited by 666 bro (2019-10-19 04:17:27)*

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**seercalf****Member**- Registered: 2019-10-13
- Posts: 17

That's awesome Ganesh! I love mathletics. I'll be adding my exercises too.

"Nothing is better than learning and gaining more and more knowledge." _ Stephen Hawking

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi 666 bro and seercalf,

666 bro: The solutions 10 units and 13 units respectively is correct. Neat work!

seercalf: Carry on!

652. Find the perimeter of a triangle whose vertices have the coordinates (3, 10), (5, 2), and (14, 12).

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 706

Hi

#652 solution is 32.89units

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

The solution 652 is correct. Excellent, 666 bro!

653. Find the ratio in which the point (-1,k) divides the line joining the points (-3,10) and (6,-8).

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

.

654. In what ratio does the point (-2,3) divide the line segment joining the points (-3,5) and (4,-9)?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 706

Hi

#654 solution is 1:6

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

655. If the point C(1,1) divides the line segment joining A(-2,7) and B in the ratio 3 : 2, find the coordinates of B.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 706

#655 solution is ((-4/5) , (23/5)) .

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

Good attempt!

656. Find the point on the x-axis which is equidistant from (2,-5) and (-2,9).

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
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Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

657. Find the coordinates of the points of trisection of the line segment joining (4,-1) and (-2,-3).

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

658. If

is divisible by , find the values of a and b.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

659. Solve the equation by using formula.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
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Hi,

660. Five years ago, Gilbert was three times as old as Gavin. Ten years later, Gilbert will be twice as old as Gavin. How old are Gilbert and Gavin?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

661. Solve by using quadratic equation formula

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

Neat work! The solution 661 is correct!

662. If the sum of two numbers is 18 and the sum of their squares is 290, find the numbers.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

The solution 662 is correct. Neat work!

663. A motor boat whose speed is 15 kilometers per hour in still water goes 30 kilometers downstream and come back in a total of 4 hours 30 minutes. Determine the speed of the stream.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

664. The age of a man is twice the square of the age of his son. After eight years, the age of the man will be 4 years more than three times the age of his son. Find their present ages.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

Neat work!

665. A sailor covered a distance of 8 kilometers in 1 hour 40 minutes downstream and returns to the starting point. If the speed of the stream is 2 kilometers per hour, find the speed of the boat in still water.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 48,367

Hi,

666. Form a quadratic equation whose roots are the squares of the roots of the equation

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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